Finding the Third Proportional to 32,584 and 49,504

Step by Step Solution

1. Step 1: Write the proportion equation
   32,584 : 49,504 = 49,504 : x
2. Step 2: Convert to fraction form
   32,584/49,504 = 49,504/x
3. Step 3: Cross multiply
   32,584x = 49,504 × 49,504
4. Step 4: Simplify right side
   32,584x = 2,450,646,016
5. Step 5: Solve for x
   x = 2,450,646,016/32,584
6. Step 6: Final answer
   x = 75,210.10